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Finding the Third Proportional to 100,466,992 and 216,995,168

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Solution

The third proportional to 100,466,992 and 216,995,168 is: 468,680,329.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,466,992 : 216,995,168 = 216,995,168 : x
  2. Step 2: Convert to fraction form
    100,466,992/216,995,168 = 216,995,168/x
  3. Step 3: Cross multiply
    100,466,992x = 216,995,168 × 216,995,168
  4. Step 4: Simplify right side
    100,466,992x = 47,086,902,935,348,224
  5. Step 5: Solve for x
    x = 47,086,902,935,348,224/100,466,992
  6. Step 6: Final answer
    x = 468,680,329.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.